The temperaments listed are 12edo-distinct, meaning that they are all different even if tuned in 12edo. The ordering is by increasing complexity of 3. The temperament of lowest TE complexity supported by the 12f val (<12 19 28 34 42 45|) was chosen as the representative for each class of edo-distinctness.

5-limit temperaments

Number	Wedgie	Name	Complexity	Commas
1	<<1 4 4]]	Meantone	1.231	81/80
2	<<2 -4 -11]]	Srutal	2.121	2048/2025
3	<<3 0 -7]]	Augmented	1.549	128/125
4	<<4 4 -3]]	Diminished	1.826	648/625
5	<<5 8 1]]	Ripple	2.702	6561/6250
6	<<6 12 5]]	Wronecki	3.781	531441/500000

7-limit temperaments

Number	Wedgie	Name	Complexity	Commas
1	<<1 4 -2 4 -6 -16]]	Dominant	1.466	36/35 64/63
2	<<2 -4 -4 -11 -12 2]]	Pajara	1.953	50/49 64/63
3	<<3 0 6 -7 1 14]]	August	1.655	36/35 128/125
4	<<4 4 4 -3 -5 -2]]	Diminished	1.494	36/35 50/49
5	<<5 8 2 1 -11 -18]]	Ripple	2.454	36/35 2560/2401
6	<<6 0 0 -14 -17 0]]	Hexe	2.689	50/49 128/125

11-limit temperaments

Number	Wedgie	Name	Complexity	Commas
1	<<1 4 -2 6 4 -6 6 -16 0 24]]	Domineering	1.523	36/35 45/44 64/63
2	<<2 -4 -4 0 -11 -12 -7 2 14 14]]	Pajaric	1.722	45/44 50/49 56/55
3	<<3 0 6 6 -7 1 -1 14 14 -4]]	August	1.506	36/35 45/44 56/55
4	<<4 4 4 0 -3 -5 -14 -2 -14 -14]]	Diminished	1.582	36/35 50/49 56/55
5	<<5 8 2 6 1 -11 -8 -18 -14 10]]	Ripple	2.130	36/35 80/77 126/121
6	<<6 0 0 0 -14 -17 -21 0 0 0]]	Hexe	2.410	50/49 56/55 125/121

13-limit temperaments

Number	Wedgie	Name	Complexity	Commas
1	<<1 4 -2 6 3 4 -6 6 1 -16 0 -8 24 16 -12]]	Dominatrix	1.367	27/26 36/35 45/44 64/63
2	<<2 -4 -4 0 -6 -11 -12 -7 -17 2 14 1 14 -2 -21]]	Pajaric	1.701	40/39 45/44 50/49 56/55
3	<<3 0 6 6 9 -7 1 -1 3 14 14 21 -4 3 9]]	August	1.536	27/26 36/35 45/44 56/55
4	<<4 4 4 0 0 -3 -5 -14 -15 -2 -14 -15 -14 -15 0]]	Diminished	1.564	36/35 40/39 50/49 66/65
5	<<5 8 2 6 3 1 -11 -8 -14 -18 -14 -23 10 1 -12]]	Ripple	1.996	36/35 40/39 66/65 147/143
6	<<6 0 0 0 6 -14 -17 -21 -13 0 0 14 0 17 21]]	Hexe	2.216	50/49 56/55 66/65 105/104